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Finding the Fourth Proportional to 6,497.08, 8,965.97 and 3,512.92

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Solution

The fourth proportional to 6,497.08, 8,965.97 and 3,512.92 is: 4,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.08 : 8,965.97 = 3,512.92 : x
  2. Step 2: Convert to fraction form
    6,497.08/8,965.97 = 3,512.92/x
  3. Step 3: Cross multiply
    6,497.08x = 8,965.97 × 3,512.92
  4. Step 4: Simplify right side
    6,497.08x = 31,496,690.50
  5. Step 5: Solve for x
    x = 31,496,690.50/6,497.08
  6. Step 6: Final answer
    x = 4,847.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.